73009433961 has 24 divisors (see below), whose sum is σ = 108879912960. Its totient is φ = 47094220800.

The previous prime is 73009433929. The next prime is 73009433999. The reversal of 73009433961 is 16933490037.

It is a happy number.

73009433961 is a `hidden beast` number, since 7 + 300 + 9 + 4 + 339 + 6 + 1 = 666.

It is not a de Polignac number, because 73009433961 - 2⁵ = 73009433929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73009433461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728745 + ... + 1770473.

It is an arithmetic number, because the mean of its divisors is an integer number (4536663040).

Almost surely, 2^73009433961 is an apocalyptic number.

It is an amenable number.

73009433961 is a deficient number, since it is larger than the sum of its proper divisors (35870478999).

73009433961 is a wasteful number, since it uses less digits than its factorization.

73009433961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48037 (or 48034 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 73009433961 in words is "seventy-three billion, nine million, four hundred thirty-three thousand, nine hundred sixty-one".